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Question

5 moles of oxygen are heated at constant volume from 10 C to 20 C. What will be the change in the internal energy of gas?
(The molar heat of oxygen at constant pressure, Cp=7.03 cal mol1 K1 and R=8.31 J mol1K1)
  1. 352 cal
  2. 252 cal
  3. 452 cal
  4. 152 cal


Solution

The correct option is B 252 cal
Given,
R=8.31 J mol1K1
   =8.314.18 cal mol1K1
  =1.99 cal mol1K1
We know that, CpCv=R
Cv=CpR
          =7.031.99
          =5.04 cal mol1
Heat absorbed by 5 mole of oxygen in heating from 10 C to 20 C
=5×Cv×T=5×5.04×10=252 cal 
Since, the gas is heated at constant volume, no external work i.e. change in internal energy wll be equal to heat absorbed,
E=q+w=252+0=252 cal

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